Question

Please help!!:

1. Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).

2. Write the equation of a line that is parallel to y = 2x – 4 and passes through the point (-3, 4).

Answer 1

1) in order for two lines to be perpendicular, their gradients must multiply together to get -1

-1/3*b=-1

b=3

5=3(3)+b

5=9+b

b=-4

equation of the line is y=3x-4

2) parallel lines have the same gradient

4=2(-3)+b

4=-6+b

b=10

equation of the line is y=2x-10